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Finding the Fourth Proportional to 32,774.70, 49,163.88 and 9,400.50

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Solution

The fourth proportional to 32,774.70, 49,163.88 and 9,400.50 is: 14,101.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,774.70 : 49,163.88 = 9,400.50 : x
  2. Step 2: Convert to fraction form
    32,774.70/49,163.88 = 9,400.50/x
  3. Step 3: Cross multiply
    32,774.70x = 49,163.88 × 9,400.50
  4. Step 4: Simplify right side
    32,774.70x = 462,165,053.94
  5. Step 5: Solve for x
    x = 462,165,053.94/32,774.70
  6. Step 6: Final answer
    x = 14,101.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.